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Simplifying 9(a + -3) = -3(2a + 4) Reorder the terms: 9(-3 + a) = -3(2a + 4) (-3 * 9 + a * 9) = -3(2a + 4) (-27 + 9a) = -3(2a + 4) Reorder the terms: -27 + 9a = -3(4 + 2a) -27 + 9a = (4 * -3 + 2a * -3) -27 + 9a = (-12 + -6a) Solving -27 + 9a = -12 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -27 + 9a + 6a = -12 + -6a + 6a Combine like terms: 9a + 6a = 15a -27 + 15a = -12 + -6a + 6a Combine like terms: -6a + 6a = 0 -27 + 15a = -12 + 0 -27 + 15a = -12 Add '27' to each side of the equation. -27 + 27 + 15a = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 15a = -12 + 27 15a = -12 + 27 Combine like terms: -12 + 27 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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